A business manager can fill up three vacant posts of varying value from seven applicants in 210 different ways. For the first post there would be a choice among 7, for the second among 6, and for the third among 5, so that the possible variations would amount to 7 × 6 × 5 = 210.
113.
If the fasting man, who began his task at noon, said it is now 5⁄11 of the time to midnight, he spoke at 3.45 p.m., meaning that 5⁄11 of the remaining time till midnight had elapsed since noon.
114.
If a clock takes six seconds to strike 6, it will take 12 seconds to strike 11, for there must be ten intervals of 11⁄5 seconds each.
115.
Twenty horses can be arranged in three stalls, so that there is an odd number in each, by placing one in the first stall, three in the second, and sixteen (an odd number to put into any stall!) in the third.